Question

In regression sum of fitted values equal sum of observed values

Answer 1

OLS regression yields the regressionline Y = 3 X − 4 / 3 , which provides asum of squared errors of . Thepredicted values of for equal to 1, 2, and 3 are , , and . Their sum is 42 / 3 = 14 , which is exactly the sum of the three observed values 2 + 4 + 8 = 14 .